A Stretch of Land Is 12 $0.9500 c ?$ (B)Which Is the Proper Length for This Stretch of Land

question 43

Short Answer

A stretch of land is 12.5 km long on a map.
(a)What would be its length to an observer moving by, parallel to the stretch, at $0.9500 c ?$ (b)Which is the proper length for this stretch of land?
(c)How fast relative to Earth would the observer have to move for the land to appear 6.50 km long? Express your answer in terms of the speed of light.

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Definitions:

Regression Line

A line that best fits a set of data points in linear regression analysis, showing the general direction in which the data tend to go.

Prediction Interval

An estimate of the interval within which future observations will fall, with a certain probability, given what has already been observed.

One-Time Occurrence

An event or happening that takes place once and is not repeated.

API Gravity

A measure of how heavy or light a petroleum liquid is compared to water, used in the oil and gas industry to classify oils.